A wiper connector apparatus includes a first connector member at a side of a vertebra; a second connector member that is disposed at an opposite side of the first connector member with the vertebra therebetween, wherein a first hooking unit is formed on an inner surface of the first connector member, to extend and slope against a direction of a length of the vertebra; a second hooking unit is formed on an inner surface of the second connector member in a parallel direction to the first hooking unit and not overlapping with the first hooking unit; and a coupling plate that slides into and is coupled to the first hooking unit and the second hooking unit to bind the first hooking unit and the second hooking unit so that the first hooking unit and the second hooking unit are not detached from each other.